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Simplifying -5(u + 6) = 7u + 18 Reorder the terms: -5(6 + u) = 7u + 18 (6 * -5 + u * -5) = 7u + 18 (-30 + -5u) = 7u + 18 Reorder the terms: -30 + -5u = 18 + 7u Solving -30 + -5u = 18 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. -30 + -5u + -7u = 18 + 7u + -7u Combine like terms: -5u + -7u = -12u -30 + -12u = 18 + 7u + -7u Combine like terms: 7u + -7u = 0 -30 + -12u = 18 + 0 -30 + -12u = 18 Add '30' to each side of the equation. -30 + 30 + -12u = 18 + 30 Combine like terms: -30 + 30 = 0 0 + -12u = 18 + 30 -12u = 18 + 30 Combine like terms: 18 + 30 = 48 -12u = 48 Divide each side by '-12'. u = -4 Simplifying u = -4
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